Concepedia

Averaging Principle

The Averaging Principle is a mathematical theorem within combinatorial analysis that states if the average of a set of values exceeds a certain threshold, then at least one element in the set must be greater than or equal to that threshold, thereby guaranteeing the existence of a particular lower bound instance.

177

Publications

7.1K

Citations

354

Authors

199

Institutions

Publications per year

2017–2026

29

Parents

Publications

177

The spatial averaging theorem revisited

F. A. Howes, Stephen Whitaker · Chemical Engineering Science · 1985 · 306 citations

, , +11

On the derivation of the Forchheimer equation by means of the averaging theorem

Douglas Ruth, Huiping Ma · Transport in Porous Media · 1992 · 295 citations

, , +9

Generalized Locator—Coherent-Potential Approach to Binary Alloys

J. A. Blackman, D. M. Esterling, N. F. Berk · Physical review. B, Solid state · 1971 · 248 citations

, , +13

Appropriate methods to combine forward and reverse free-energy perturbation averages

Nandou Lu, Jayant K. Singh, David A. Kofke · The Journal of Chemical Physics · 2003 · 220 citations

, , +8

Active Particles with Soft and Curved Walls: Equation of State, Ratchets, and Instabilities

Nikolai Nikola, Alexandre Solon, Yariv Kafri et al. · Physical Review Letters · 2016 · 177 citations · Full text

, , +11

1–5 of 177

Authors

354

  1. MF
    Mark Freidlin

    University of Maryland, College Park, United States

    5 publications · 200 citations

    5

    h-index

  2. YX
    Yong Xu

    Northwestern Polytechnical University, China

    4 publications · 146 citations

    4

    h-index

  3. BP
    Bin Pei

    Northwestern Polytechnical University, China

    4 publications · 146 citations

    4

    h-index

  4. AY
    A. Yu. Veretennikov

    Institute for Information Transmission Problems, Russia

    3 publications · 99 citations

    3

    h-index

  5. JL
    Jicheng Liu

    North China Electric Power University, China

    3 publications · 116 citations

    3

    h-index

1–5 of 354

Institutions

199

  1. University of Maryland, College Park

    College Park, United States

    8 h-index

    11 publications

    530 citations

  2. Northwestern Polytechnical University

    Xi'an, China

    6 h-index

    12 publications

    404 citations

  3. University of California, Los Angeles

    Los Angeles, United States

    5 h-index

    8 publications

    144 citations

  4. Huazhong University of Science and Technology

    Wuhan, China

    5 h-index

    8 publications

    285 citations

  5. Tel Aviv University

    Tel Aviv, Israel

    4 h-index

    7 publications

    197 citations

  6. Swansea University

    Swansea, United Kingdom

    3 h-index

    3 publications

    123 citations

  7. Sorbonne Université

    Paris, France

    3 h-index

    3 publications

    308 citations

  8. University of Pennsylvania

    Philadelphia, United States

    3 h-index

    3 publications

    47 citations

1–8 of 199

Venues

  1. 7

    h-index

  2. Stochastics and Dynamics

    5 publications · 186 citations

    5

    h-index

  3. Fractal and Fractional

    4 publications · 97 citations

    4

    h-index

  4. The Journal of Chemical Physics

    3 publications · 324 citations

    3

    h-index

  5. SIAM Journal on Control and Optimization

    2 publications · 82 citations

    2

    h-index

1–5